2616080 has 40 divisors (see below), whose sum is σ = 6207192. Its totient is φ = 1025024.

The previous prime is 2616071. The next prime is 2616139. The reversal of 2616080 is 806162.

2616080 = T₉₆ + T₉₇ + ... + T₂₅₄.

2616080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 2572816 = 208^2 + 1604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932 + ... + 4548.

2^2616080 is an apocalyptic number.

2616080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103596).

2616080 is an abundant number, since it is smaller than the sum of its proper divisors (3591112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2616080 is a wasteful number, since it uses less digits than its factorization.

2616080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2616080 is about 1617.4300603117. The cubic root of 2616080 is about 137.7897800466.

The spelling of 2616080 in words is "two million, six hundred sixteen thousand, eighty".